Greatest Common Factor of 657/40, 533/50, 598/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 657/40, 533/50, 598/419

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 657/40,533/50,598/419

Given fractions are 657/40,533/50,598/419

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 657,533,598

Greatest Common Factor of Numerators i.e. GCF of 657,533,598 is 1 .

LCM of Denominators means LCM of 40,50,419 as per the given fractions.

LCM of 40,50,419 is 83800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 657,533,598

GCF of Fractions 657/40,533/50,598/419 is 1/83800

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 657,533,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,533,598 By Matching Biggest Common Factor Method

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 657,533,598 . The biggest common factor number is the GCF number.
So the greatest common factor 657,533,598 is 1.

Lets's calculate LCM of 40,50,419

2 40, 50, 419
5 20, 25, 419
4, 5, 419

∴ So the LCM of the given numbers is 2 x 5 x 4 x 5 x 419 = 83800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83800

Therefore, the GCF of Fractions 657/40,533/50,598/419 is 1/83800

Least Common Multiple of 40,50,419 with GCF Formula

Least Common Multiple of 40,50,419 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 40,50,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,50,419) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(40,50,419) x common factors =1 x 10 = 10

LCM(40,50,419) = ( 40 × 50 × 419 ) / 10

LCM(40,50,419) = 838000 / 10

LCM(40,50,419) = 83800


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 657/40, 533/50, 598/419

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 657/40, 533/50, 598/419?

Answer: GCF of Numerators as per given numbers 657/40, 533/50, 598/419 is

GCF of Numerators i.e. for 657,533,598 is 1

LCM of denominators i.e. for 40,50,419 is 83800.

Thus, GCF of Fractions is 1/83800.Finally, GCF of Fractions for 657/40, 533/50, 598/419 is 1/83800.